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Finding the Fourth Proportional to 39,794.60, 59,699.10 and 20,023.40

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Solution

The fourth proportional to 39,794.60, 59,699.10 and 20,023.40 is: 30,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794.60 : 59,699.10 = 20,023.40 : x
  2. Step 2: Convert to fraction form
    39,794.60/59,699.10 = 20,023.40/x
  3. Step 3: Cross multiply
    39,794.60x = 59,699.10 × 20,023.40
  4. Step 4: Simplify right side
    39,794.60x = 1,195,378,958.94
  5. Step 5: Solve for x
    x = 1,195,378,958.94/39,794.60
  6. Step 6: Final answer
    x = 30,038.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.